Highest Common Factor of 8675, 7559 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 8675, 7559 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8675, 7559 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 8675, 7559 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 8675, 7559 is 1.

HCF(8675, 7559) = 1

HCF of 8675, 7559 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 8675, 7559 is 1.

Highest Common Factor of 8675,7559 using Euclid's algorithm

Highest Common Factor of 8675,7559 is 1

Step 1: Since 8675 > 7559, we apply the division lemma to 8675 and 7559, to get

8675 = 7559 x 1 + 1116

Step 2: Since the reminder 7559 ≠ 0, we apply division lemma to 1116 and 7559, to get

7559 = 1116 x 6 + 863

Step 3: We consider the new divisor 1116 and the new remainder 863, and apply the division lemma to get

1116 = 863 x 1 + 253

We consider the new divisor 863 and the new remainder 253,and apply the division lemma to get

863 = 253 x 3 + 104

We consider the new divisor 253 and the new remainder 104,and apply the division lemma to get

253 = 104 x 2 + 45

We consider the new divisor 104 and the new remainder 45,and apply the division lemma to get

104 = 45 x 2 + 14

We consider the new divisor 45 and the new remainder 14,and apply the division lemma to get

45 = 14 x 3 + 3

We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get

14 = 3 x 4 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8675 and 7559 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(45,14) = HCF(104,45) = HCF(253,104) = HCF(863,253) = HCF(1116,863) = HCF(7559,1116) = HCF(8675,7559) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 8675, 7559 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 8675, 7559?

Answer: HCF of 8675, 7559 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8675, 7559 using Euclid's Algorithm?

Answer: For arbitrary numbers 8675, 7559 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.